Question

Помогите с интегралом

Answer 1

$\int\frac{2x+2+1}{x^2+2x+2} \, dx =\int\frac{2x+2}{x^2+2x+2} \, dx +\int\frac{1}{(x+1)^2+1} \, d(x +1)=\ln(x^2+2x+2)+arctg(x+1) +C$